x+y=19 and 6.5x+3y=74.5 can be used to determine the number of gifts wrapped and number of giftbags prepared where x represents the wrapped gifts and y represents giftbags.
Step-by-step explanation:
Let,
x be the gift wrapped with wrapping paper.
y be the gifts in gift bag.
Time for wrapping one gift = 6.5 minutes
Time for doing 1 gift bag = 3 minutes
Total gifts = 19
Total time = 74.5 minutes
According to given statement;
x+y=19
6.5x+3y=74.5
x+y=19 and 6.5x+3y=74.5 can be used to determine the number of gifts wrapped and number of giftbags prepared where x represents the wrapped gifts and y represents giftbags.
Keywords: linear equation, addition
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Given: 3y cos x = x² + y²
Define
Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)
Answer:
Remember, percent is always out of 100. If you have 22%, you have 22 people per every 100 people, or, 22/100.
22/100 is the incomplete answer because it needs to be simplified. If you divide both numbers by two you get 11/50 which is the lowest fraction you can have because 11 is a prime number.
Original Figure:
Length = 15
Width = 5
Height = 10
Volume = Length*Width*Height
Volume = 15*5*10
Volume = 750
New Figure
Length = 3
Width = 1
Height = 2
Each dimension has been divided by 5 (eg: 15/5 = 3)
Volume = Length*Width*Height
Volume = 3*1*2
Volume = 6
The old volume was 750 and it changes to 6
Notice how 750/6 = 125
Which can be rearranged to 750/125 = 6
Answer: if you divide the old volume by 125, then you get the new volume
Note: the new volume is 125 times smaller than the old volume
Put another way, the old volume is 125 times larger compared to the new volume
The fact that 125 = 5^3 is not a coincidence. If you divide each dimension by some number k, then you divide the volume by k^3
